Question

Can someone please help me? :( Solve the system of equations that includes a circle and a line algebraically. Find the solutions where the conic equations intersect each other{x^2+y^2-4y=20
3x+4y=5

Answer 1

How would you normally solve a system of equations?

Answer 2

I tried both elimination and plugging in one variable. But for both methods I always end up having only one variable. I'm still lost :(

Answer 3

one less variable*

Answer 4

So you found out what y was in terms of x, using the second equation?

Answer 5

If so, tell me what y = in terms of x.

Answer 6

Well I saw that there was a 4y in the first equation. so for the second equation I shifted the values to get 4y=5-3x. When I plugged it in I had x^2+y^2+2x-5-3x)=20

Answer 7

You can't do that. Because there is also a y^2

Answer 8

Yeah, I don't understand how I can get rid of both y^2 and y

Answer 9

That is, you also have to deal with that y^2

Answer 10

Well, if 4y = 5-3x, then what does y =?

Answer 11

I need to divide 4 to both sides?

Answer 12

of course

Answer 13

See, you know how to do it. You just panicked, and thought you didn't know how.

Answer 14

Oh, I see now.

Answer 15

So then what does y =?

Answer 16

See?

Answer 17

y=-3/4x+5/4. Then I plug in. I see now. I see now.

Answer 18

The math might be messy, but it's easy once you see that.

Answer 19

OK

Answer 20

You're welcome.

Answer 21

Yes. Thank you very much:) I appreciate the help